As of April 2006, roughly 50 million .com web domain names were registered (e.g., yahoo.com).(a)How many domain names consisting of just two letters in sequence can be formed? domain namesHow many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.] domain names(b)How many domain names are there consisting of three letters in sequence? [Note: All are currently taken.] domain namesHow many of this length are there if either letters or digits are permitted? domain names(c)How many domain names are there consisting of four letters in sequence? domain namesHow many of this length are there if either letters or digits are permitted? domain names(d)As of a certain date, 99,397 of the four-character sequences using either letters or digits had not yet been claimed. If a four-character name is randomly selected on that date, what is the probability that it is already owned? (Round your answer to four decimal places.) As of April 2006, roughly 50 million .com web domain names were registered (e.g., yahoo.com).(a) How many domain names consisting of just two letters in sequence can be formed?domain namesHow many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.]domain names(b) How many domain names are there consisting of three letters in sequence? [Note: All are currently taken.]domain namesHow many of this length are there if either letters or digits are permitted?domain names(c) How many domain names are there consisting of four letters in sequence?domain namesHow many of this length are there if either letters or digits are permitted?domain names(d) As of a certain date, 99,397 of the four-character sequences using either letters or digits had not yet been claimed. If a four-character name is randomly selected on that date, what is the probability that it is already owned? (Roundyour answer to four decimal places.)

Given: Roughly 50 million .com web domain names were registered There are 26 alphabets and 10 digits

Answered: As of April 2006, roughly 50 million…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 18PT: To allocate annual bonuses, a manager must choose his top four employees and rank them first to...

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As of April 2006, roughly 50 million .com web domain names were registered (e.g., yahoo.com).

(a)

How many domain names consisting of just two letters in sequence can be formed?

domain names

How many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.]

domain names

(b)

How many domain names are there consisting of three letters in sequence? [Note: All are currently taken.]

domain names

How many of this length are there if either letters or digits are permitted?

domain names

(c)

How many domain names are there consisting of four letters in sequence?

domain names

How many of this length are there if either letters or digits are permitted?

domain names

(d)

As of a certain date, 99,397 of the four-character sequences using either letters or digits had not yet been claimed. If a four-character name is randomly selected on that date, what is the probability that it is already owned? (Round your answer to four decimal places.)

As of April 2006, roughly 50 million .com web domain names were registered (e.g., yahoo.com).
(a) How many domain names consisting of just two letters in sequence can be formed?
domain names
How many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.]
domain names
(b) How many domain names are there consisting of three letters in sequence? [Note: All are currently taken.]
domain names
How many of this length are there if either letters or digits are permitted?
domain names
(c) How many domain names are there consisting of four letters in sequence?
domain names
How many of this length are there if either letters or digits are permitted?
domain names
(d) As of a certain date, 99,397 of the four-character sequences using either letters or digits had not yet been claimed. If a four-character name is randomly selected on that date, what is the probability that it is already owned? (Round
your answer to four decimal places.)

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